What is the Least Common Multiple of 14253 and 14271?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 14253 and 14271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14253 and 14271, than apply into the LCM equation.

GCF(14253,14271) = 3
LCM(14253,14271) = ( 14253 × 14271) / 3
LCM(14253,14271) = 203404563 / 3
LCM(14253,14271) = 67801521

Least Common Multiple (LCM) of 14253 and 14271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14253 and 14271. First we will calculate the prime factors of 14253 and 14271.

Prime Factorization of 14253

Prime Factorization of 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 14253 and 14271.

LCM(14253,14271) = 3¹ × 4751¹ × 67¹ × 71¹
LCM(14253,14271) = 67801521